Convert the given system to an augmented matrix. -2x1 + X1 - 2x2 + 3x3 = 5x2 - 10x3 = 1 7x1 - 17x2 + 34x3 = -20 -2 5 -10 1 1 -2 -20 7 -17 34 -2 5 -10 1 -2 3 1 7 -17 34 -20 1 7 5 -2 -17 -10 3 34 1. -20 2 1 7 5 2 17 10 3 34 5 1 20 2 5 10 1 3 1 7 17 34 20 N5O 5

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.5: Solve Systems Of Equations Using Matrices
Problem 4.76TI: Write the system of equations that corresponds to the augmented matrix: [111423181113] .
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Convert the given system to an augmented matrix.
-2x1 +
5x2 - 10x3 =
X1 -
2x2 + 3x3 =
1
7x1 - 17x2 + 34x3
= -20
-2
5 -10
1
1
-2
-20
7 -17
34
-2
5 -10
1
-2
3
1
7 -17
34
-20
1
7
5 -2
-17
-10
3
34
1.
-20
2 1
7
5 2
17
10 3
34
5 1
20
2
5 10
1 2
3
1
7 17 34
20
Find all solutions by reducing the system to echelon form and back substituting.
(X1, X2, x3) =
N5O 5
Transcribed Image Text:Convert the given system to an augmented matrix. -2x1 + 5x2 - 10x3 = X1 - 2x2 + 3x3 = 1 7x1 - 17x2 + 34x3 = -20 -2 5 -10 1 1 -2 -20 7 -17 34 -2 5 -10 1 -2 3 1 7 -17 34 -20 1 7 5 -2 -17 -10 3 34 1. -20 2 1 7 5 2 17 10 3 34 5 1 20 2 5 10 1 2 3 1 7 17 34 20 Find all solutions by reducing the system to echelon form and back substituting. (X1, X2, x3) = N5O 5
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